Simplify 1/41/3+1/21/6

$\frac{1}{4} \cdot \frac{1}{3} + \frac{1}{2} \cdot \frac{1}{6}$

Step 1

Simplify each term.

Multiply $\frac{1}{4} \cdot \frac{1}{3}$ .

Multiply $\frac{1}{4}$ by $\frac{1}{3}$ .

$\frac{1}{4 \cdot 3} + \frac{1}{2} \cdot \frac{1}{6}$

Multiply $4$ by $3$ .

$\frac{1}{12} + \frac{1}{2} \cdot \frac{1}{6}$

Multiply $\frac{1}{2} \cdot \frac{1}{6}$ .

Multiply $\frac{1}{2}$ by $\frac{1}{6}$ .

$\frac{1}{12} + \frac{1}{2 \cdot 6}$

Multiply $2$ by $6$ .

$\frac{1}{12} + \frac{1}{12}$

Step 2

Simplify terms.

Combine the numerators over the common denominator.

$\frac{1 + 1}{12}$

Add $1$ and $1$ .

$\frac{2}{12}$

Cancel the common factor of $2$ and $12$ .

Factor $2$ out of $2$ .

$\frac{2 (1)}{12}$

Cancel the common factors.

Factor $2$ out of $12$ .

$\frac{2 \cdot 1}{2 \cdot 6}$

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 6}$

Rewrite the expression.

$\frac{1}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{6}$

Decimal Form:

$0.1\overline{6}$

Simplify 1/4*1/3+1/2*1/6